18. Calculate the elastic potential energy in a spring assuming that the spring

Question

18. Calculate the elastic potential energy in a spring assuming that the spring and the spring is compressed by 0.2 m. constant, k, is 100 N/m 19. A 20 kg mass is moving at a speed of 5 m/s toward a spring. Assuming that the spring constant k -100 N/m, what is the maximum deflection of the spring? (Hint: relate the energy of the moving mass to the energy of the compressed spring.) Which object will hit the ground in the shortest time: 1) an object dropped from height H, 2) an object starting at height H, sliding down a frictionless ramp inclined at 30 degrees, 3) an object starting at height H, sliding down a frictionless "rollercoaster" with an average incline of 10 degrees? 20. 21. Calculate the momentum of a 20 kg mass traveling at 100 m/s.

Explanation / Answer

18)

Ep = 1/2kx^2

Ep = 1/2 x 100 N/m x (0.2m)^2

Ep = 2 J

19)

1/2mv^2 = 1/2kx^2

mv^2 = kx^2

x^2 = mv^2/k

x = sqrt[(20 x 5^2) / 100 ]

x = 2.23 m

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